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Finding the Third Proportional to 227,715.75 and 499,720.50

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Solution

The third proportional to 227,715.75 and 499,720.50 is: 1,096,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,715.75 : 499,720.50 = 499,720.50 : x
  2. Step 2: Convert to fraction form
    227,715.75/499,720.50 = 499,720.50/x
  3. Step 3: Cross multiply
    227,715.75x = 499,720.50 × 499,720.50
  4. Step 4: Simplify right side
    227,715.75x = 249,720,578,120.25
  5. Step 5: Solve for x
    x = 249,720,578,120.25/227,715.75
  6. Step 6: Final answer
    x = 1,096,632.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.